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Simplifying (5 + i) + (7 + -2i) = 0 Remove parenthesis around (5 + i) 5 + i + (7 + -2i) = 0 Remove parenthesis around (7 + -2i) 5 + i + 7 + -2i = 0 Reorder the terms: 5 + 7 + i + -2i = 0 Combine like terms: 5 + 7 = 12 12 + i + -2i = 0 Combine like terms: i + -2i = -1i 12 + -1i = 0 Solving 12 + -1i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1i = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1i = 0 + -12 -1i = 0 + -12 Combine like terms: 0 + -12 = -12 -1i = -12 Divide each side by '-1'. i = 12 Simplifying i = 12
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